Titlebook: Computational Methods for Physicists; Compendium for Stude Simon Sirca,Martin Horvat Textbook 20121st edition Springer-Verlag GmbH Germany,

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書目名稱Computational Methods for Physicists影響因子(影響力)




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Morelia Urlaub,Peter Talling,Antonis Zervos scalar equations are explained: bisection, Newton–Raphson with optional convergence improvements, the secant and Müller’s method. Vector non-linear equations are treated by Newton–Raphson and Broyden’s method, illustrated by a robot engineering example. Solving polynomial equations of a single vari

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https://doi.org/10.1007/978-3-319-00972-8cial tools. Yet even the most basic operations like the multiplication of two matrices or computing a determinant can be excessively time-consuming and inaccurate if performed recklessly. This chapter elucidates the crucial aspects of matrix manipulation and standard algorithms for the classes of ma

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https://doi.org/10.1007/978-3-319-20979-1erties and features, and later compared to theoretical or phenomenological models. This chapter starts with an introduction to the basic statistical techniques of computing the averages and moments of distributions and their uncertainties. Particular emphasis is given on ways of identifying outliers

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https://doi.org/10.1007/BFb0117872ystems of such problems. The concepts of consistency, stability and convergence are introduced, as well as methods to increase the local solution precision by extrapolation. Shooting methods are offered as a clear alternative to difference methods in the case of non-linear equations and their system

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Lecture Notes in Earth Sciencesation in two dimensions by explicit and implicit difference schemes, allowing us to introduce the corresponding stability criteria. The treatment of alternating direction implicit (ADI) schemes is supplemented by the extension to three space dimensions. Several schemes for solutions of hyperbolic eq